Answer:
a | c| ac
A | Aa| Ac|
C| Ca| Cc|
AC| Aa| Ac
Step-by-step explanation:
I kinda confused myself because Ido how to type it out of box but I hope this helps a little, what you’re supposed to do is write the sides [_ first and then use the first of each one to combine
Determine the intercepts of the line
Answer:
25, -55
Step-by-step explanation:
Intercepts are where the line crosses the x and y axis
x intercept = 25
y intercept = -55
Mitzi has 79 coins she divides the coins equally among herself and her 3 brothers Mitzi will keep any coins left over how many coins does each person get
Answer:
19
Step-by-step explanation:
79÷4=19R3
≈ 19
On Dec. 10, Merchandise is sold for $2,0002/10, n/30 to ABC who sends a remittance on Dec. 26 . What is the amount of remittance? a. 1,800 b. 1,400 c. 1,960 d. 2,000
The amount of the remittance from ABC is $1,960.
The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.
Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.
To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.
In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.
Learn more about credit periods here:
brainly.com/question/2264363
#SPJ11
please help me,
will give 50 points
The equivalent value of sin{D} is -
sin{D} = √13/10.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a right angled triangle.
In the given right angle triangle, we can use the Pythagoras theorem as -
{FD}² = {√13}² + {√87}²
{FD}² = 13 + 87
{FD}² = 100
FD = 10
So, we can write that -
sin{D} = √13/10
Therefore, the equivalent value of sin{D} is -
sin{D} = √13/10.
To solve more questions on Trigonometric equations, visit the link below-
brainly.com/question/1041084
#SPJ1
What is the slope passing through the points (6,5) and (5,3)
Answer:
\(m=2\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (6, 5)
Point (5, 3)
Step 2: Find slope m
Substitute [SF]: \(m=\frac{3-5}{5-6}\)Subtract: \(m=\frac{-2}{-1}\)Divide: \(m=2\)Which method represents a correct way to solve the equation?
-x+(-3+x)2 = 6
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
OA.
Square -3.
Square x.
Subtract -7x from both sides.
OB. Subtract 9 from both sides.
Take the square root of both sides.
Square -3.
Square x.
Combine like terms
OC. Subtract 6 from both sides.
Use the quadratic formula to solve for x.
OD
Square the quantity (-3 + x).
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
Answer:
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
Step-by-step explanation:
Given:
-x (-3 + x )2 = 6
-x (-3 + x )2 = 6
-x (-6 + 2x) = 6
-6x + 2x^2 = 6
2x^2 - 6x - 6 = 6 - 6
2x^2 - 6x - 6 = 0
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
1
D
Question 1
Adding the complex numbers 7 - 6i and —3 + 8i is equivalent to the operation
(7 – 6) + (-3+8) i.
Jade and chet get a weekly allowance plus x dollars for each time the pair walks the dog. they plan to save 40% of their combined earnings in one week to purchase a new app for their smart tablet. their earnings in a certain week are represented in the table. earnings ($) jade 8+2x chet 4x+6 if their parents pay $2.50 each time they walk the dog, how much money will they have to purchase the app?
The amount of money Jade and chet will have to purchase the app is $11.6
How to solve equation?Jade = 8 + 2xChet = 4x + 6Where,
x = $2.50
Amount each earned:
Jade = 8 + 2x
= 8 + 2(2.50)
= 8 + 5
= $13
Chet = 4x + 6
= 4(2.50) + 6
= 10 + 6
= $16
Combined earnings = $13 + $16
= $29
Amount planned to save = 40% of combined earnings
= 40% × $29
= 0.4 × 29
= $11.6
Learn more about equation:
https://brainly.com/question/2972832
#SPJ1
Can anyone pls help me I’m confused god bless u
Step-by-step explanation:
The slope of the prependicular line is the negative reciporal of the original line's slope.
For slope 2/5
Slope of prependicular line is -5/2
hope this helped you understand it.
Answer:
answer below
Step-by-step explanation:
If lines are perpendicular, then their slopes will be negative reciprocals.
m1 * m2 = -1.............where m1 is the gradient of original line and m2 of perpendicular line
1) -1/6 --> 6
2) 4\(\frac{3}{8}\) --> -8/35
3)10 --> -1/10
4) -5\(\frac{2}{7}\) ---> 7/37
//appreciate if marked it as brainliest//
Janet bought some markers for $3 each, and a notebook for $5. Janet did not spend more than $17. Which inequality can be used to find y, the number of markers that Janet could have bought?
Answer:
3y+5≤17
Step-by-step explanation:
Well we know she brought 1 note book and each note book is $5, its +5
Now we know she brought Y markers and each marker cost $3 so its 3Y
Now we know the price is no more than 17 which means she could’ve spent 17 or less tha, no more then 17 so less than or equal to sign ≤17
Now combine them
3y+5≤17
Thats the equation
If you want to find Y, solve it like an equation
Which of the following statements about hypothesis test is NOT true?
a) We should use a small significance level if type 1 error leads to more serious consequences than type 11 error.
b) It is generally harder to reject a two-sided hypothesis test than a one-sided hypothesis test
c) For a given sample, if we try to decrease type 1 error, then type ii error will increase.
d) The probability of rejecting the null hypothesis when the null hypothesis is false is the power of the test
The correct answer is: b) It is generally harder to reject a two-sided hypothesis test than a one-sided hypothesis test.
This statement is NOT true. In fact, it is generally easier to reject a two-sided hypothesis test compared to a one-sided hypothesis test.
In a one-sided hypothesis test, the alternative hypothesis is directional, meaning it specifies whether the population parameter is expected to be greater or smaller than the null hypothesis value. This narrows down the rejection region, making it easier to reject the null hypothesis if the data strongly supports the alternative hypothesis.
On the other hand, in a two-sided hypothesis test, the alternative hypothesis is non-directional, allowing for the possibility that the population parameter can be either greater or smaller than the null hypothesis value. This widens the rejection region, making it harder to reject the null hypothesis as the data must provide strong evidence in either direction.
Therefore, the correct statement would be that it is generally harder to reject a two-sided hypothesis test than a one-sided hypothesis test.
For more questions on hypothesis test
https://brainly.com/question/15980493
#SPJ8
An animal shelter rescues cats and dogs only. Currently the animal shelter has 121 animals. The amount of dogs is 6 more than 4 times the amount of cats. How many cats and dogs are currently in this animal shelter?
Answer:
In a certain animal shelter, the ratio of the number of dogs to the number of cats is 15 to 7. If 12 additional cats were to be taken in by the shelter, the ratio of the number of dogs to the number of cats would be 15 to 11. How many dogs are in the shelter?
A. 15
B. 25
C. 30
D. 45
E. 60
Allison sells apples at the market. On a given day, the ratio of red delicious to Macintoshes to granny smiths sold is 4:3:2. If her truck can carry 180 bushels of apples, how many bushels of granny smiths should she include? *
Answer:
40
Step-by-step explanation:
80+60+40=180
There is 20 more of each type of apple
Refer to the diagram. 115° (2x + 5)° Write an equation that can be used to find the value of x. What is the value of x
If measure of two "vertically-opposite-angles" are 115° and (2x + 5)°, then the equation to find value of "x" is 115° = (2x + 5)°,and value of "x" is 55.
The Vertically opposite angles are defined as a pair of non-adjacent angles formed by the intersection of two lines. and if the two angles are vertically opposite then their measures are equal, so, to find the value of "x", we equate the measure of both the angles,
The measure of the two angles are 115° and (2x + 5)°,
So, on equating,
We get,
⇒ 115° = (2x + 5)°,
⇒ 110° = 2x,
⇒ x = 55,
Therefore, the value of x is 55.
Learn more about Angles here
https://brainly.com/question/30195817
#SPJ1
The given question is incomplete, the complete question is
The measure of the two vertically opposite angles are 115° and (2x + 5)°, Write an equation that can be used to find the value of x. What is the value of x?
Sabrina’s schedule is listed below. Each of her teachers only teaches one subject. Is this an example of a function? Why or Why not?
Period
Class
1st
Band
2nd
PE
3rd
Math
4th
SS
5th
ELA
6th
Science
Justin bought some chocolate, 3 lollipops, and some bubble gum at the candy store. Pieces of chocolate cost $0. 15 each, lollipops cost $0. 25 each and pieces of bubble gum cost $0. 50 each. If I represents the number of chocolate pieces he bought, and g represents the number of pieces of bubble gum he bought, which expression represents the amount of money Justin spent at the candy store? O A 0. 15 +0. 25(3) +0. 509 OB. 0. 151 +0. 25(3) +0. 500 O C 0. 15 0. 25(3) * 0. 509 O D. 0. 15-0. 25(3) - 0. 50g
The expression that represents the amount of money Justin spent at the candy store is 0.15I - 0.25(3) - 0.50g. It takes into account the cost of chocolate, lollipops, and bubble gum he bought.
The expression that represents the amount of money Justin spent at the candy store is D) 0.15 - 0.25(3) - 0.50g.
To calculate the total amount spent, we need to consider the cost of each item Justin bought. The cost of the chocolate pieces is $0.15 each, so the cost of 'I' chocolate pieces would be 0.15 * I.
The lollipops cost $0.25 each, and Justin bought 3 lollipops. Therefore, the cost of the lollipops would be 0.25 * 3.
Lastly, the bubble gum pieces cost $0.50 each, and Justin bought 'g' pieces. So, the cost of the bubble gum would be 0.50 * g.
To calculate the total amount spent, we subtract the costs of the lollipops and bubble gum from the cost of the chocolate pieces. Therefore, the expression becomes 0.15I - 0.25(3) - 0.50g, which is option D.
To learn more about amount click here
brainly.com/question/15701834
#SPJ11
Help Idk what I did wrong show your work please
Answer: x = 10
Step-by-step explanation:
first Add 20 to both sides.
4x = x + 10 + 20
Then Simplify x + 10 + 20 to x + 30
4x = x + 30
Then u subtract x from both sides
4x - x = 30
Simplify 4x - x to 3x
3x = 30
Then u divide both sides by three
x = 30/3
Then u last simplify 30/3 to 10
x = 10
Answer:
x = 10
Step-by-step explanation:
first Add 20 to both sides.
4x = x + 10 + 20
Then Simplify x + 10 + 20 to x + 30
4x = x + 30
Then you subtract x from both sides
4x - x = 30
Simplify 4x - x to 3x
3x = 30
Then you divide both sides by three
x = 30/3
Then you last simplify 30/3 to 10
x = 10
just need help on #7 thru 8(a), b and c
7
a. The slope of the line passing through the points R(3, 5) and H(-1,2) is -3/4
b. The distance between two points (x₁, y₁) and (x₂,y₂) is 5 units
c. The midpoint of the R(3, 5) and H(-1,2) is (2, 4)
8.
a. The transformation rule is (x,y) → (x + 1, y - 1)
b.
The x-coordinate is shifted 1 unit to the left and The y - coordinate is shifted 1 unit downwards.c. The image of B' the pre-image of B(5, 6) is (6, 5)
7 a. How to find the slope of the line?The slope of a line passing through the points (x₁, y₁) and (x₂,y₂) is m = (y₂ - y₁)/(x₂ - x₁)
Given that
(x₁, y₁) = (3, 5) and (x₂,y₂) = (-1, 2)So, m = (y₂ - y₁)/(x₂ - x₁)
m = (2 - 5)/(-1 - 3)
m = -3/-4
m = -3/4
So, the slope of the line passing through the points R(3, 5) and H(-1,2) is -3/4
b. The distance between the pointsThe distance between two points (x₁, y₁) and (x₂,y₂) is d = √[(y₂ - y₁)² + (x₂ - x₁)²]
Given that
(x₁, y₁) = (3, 5) and (x₂,y₂) = (-1, 2)d = √[(y₂ - y₁)² + (x₂ - x₁)²]
d = √[(2 - 5)² + (-1 - 3)²]
d = √[(-3)² + (-4)²]
d = √[9 + 16]
d = √25
d = 5 units
So, the distance between two points (x₁, y₁) and (x₂,y₂) is 5 units
7 c How to find the midpoint of the R(3, 5) and H(-1,2)The midpoint of the the points (x₁, y₁) and (x₂,y₂) is (x, y) = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Given that
(x₁, y₁) = (3, 5) and (x₂,y₂) = (-1, 2)So, the midpoint (x, y) = [(x₁ + x₂)/2, (y₁ + y₂)/2]
(x, y) = [(3 + (-1))/2, (5 + 3)/2]
(x, y) = [(3 - 1)/2, (5 + 3)/2]
(x, y) = [4/2, 8/2]
(x, y) = (2, 4)
So, the midpoint of the R(3, 5) and H(-1,2) is (2, 4)
8. a The rule for the transformation of point A(1, 4) to point B(2, 3)Given that point A(1, 4) and point B(2, 3) we see that point B(1 + 1, 4 - 1).
Let pont A be (x,y).
So, point B = (x + 1, y - 1)
So, the transformation rule is (x,y) → (x + 1, y - 1)
b. Describe the transformationSince the transformation rule is (x,y) → (x + 1, y - 1), we see that
the x-coordinate is shifted 1 unit to the left and the y - coordinate is shifted 1 unit downwards.c. The image of B' the pre-image of B(5, 6)Since the transformation rule is (x,y) → (x + 1, y - 1) and point B is (5, 6), thus the image of B' is
(x,y) → (x + 1, y - 1)
(5,6) → (5 + 1, 6 - 1)
(5,6) → (6, 5)
So, the image of B' the pre-image of B(5, 6) is (6, 5)
Learn more about slope of a line here:
https://brainly.com/question/1617757
#SPJ1
What is an equation of the line that passes through the points (-6, -3) and
(-8,-4)
Answer:
Equation is Y=x/2
Step-by-step explanation:
Find the gradient of the line : graduent= -4-(-3)÷ -8-(-6) which = to 1\2Sustitutes any of the values of y and x coordinates and your gradient in order to find the value of c: Y =mx + c : (-4)=1/2(-8) + c then C =OY=x/2name a point that is sqrt(2)away from (-1 5)
The point which is √2 distance away from the point (-1, 5) is (-1, 5 - √2).
In order to find a point that is √2 away from (-1, 5), we need to find a point that is at a distance of √2 from (-1, 5). Let the point we need to find be (x, y),
Using the distance formula, we can set up the following equation:
√[(x - (-1))² + (y - 5)²] = √2,
Simplifying this equation,
We get,
(x + 1)² + (y - 5)² = 2,
This equation represents a circle with center (-1, 5) and radius √2.
So, one point that satisfies this equation is (-1, 5 - √2), which is √2 away from (-1, 5).
Learn more about Distance here
https://brainly.com/question/23319088
#SPJ4
which scatterplot has a correlation coefficient close to 0 but also has a strong relationship between the variables?
A scatterplot with a strong nonlinear relationship can have a correlation coefficient close to 0, but still have a strong relationship between the variables.
For example, consider a scatterplot where the points follow a curved pattern, such as a parabola or a sine wave. In such a case, the correlation coefficient may be close to 0, indicating no linear relationship between the variables, but there is still a strong nonlinear relationship between them.
In general, it is important to consider the shape and pattern of the scatterplot, in addition to the correlation coefficient, when assessing the relationship between two variables. A scatterplot with a weak correlation coefficient and a random scatter of points may indicate no relationship, while a scatterplot with a strong nonlinear pattern may indicate a strong relationship, even if the correlation coefficient is close to 0.
Learn more about scatterplot here:
https://brainly.com/question/29366075
#SPJ11
What is the slope of each line?
1
Line A: y=x-4
Line B: y=2x-3
1
O The slope of line A= 2.
The slope of line B= 2
sh
O The slope of line A=-4.
The slope of line B=-3.
O The slope of line A-2.
The slope of line B=-2.
O The slope of line A=-3.
The slope of line B=-4.
Answer:
slope of line a is 1/1. Slope of line B is 2/1
Step-by-step explanation:
A new solid waste treatment plant is to be constructed in Washington County. The initial installation will cost \( \$ 35 \) million (M). After 10 years, minor repair and renovation \( (R \& R) \) will
The capitalized cost for the solid waste treatment plant, based on a 6% MARR, is approximately $579 million.
To calculate the capitalized cost for the solid waste treatment plant, we need to determine the present value of all the costs over the project's lifespan.
The costs involved in the project are as follows:
Initial installation cost: $35 million.
Minor repair and renovation (R&R) after 10 years: $14 million.
Major R&R after 20 years: $18 million.
Operating and maintenance (O&M) costs each year, increasing at a compound rate of 6% per year.
First, let's calculate the present value of the O&M costs over the 20-year period: Using the TVM Factor Table calculator, the present value factor for a 6% MARR and 20 years is 10.206.
The total O&M costs over 20 years can be calculated as follows: O&M costs for the first year: $3 million. O&M costs for the subsequent years: $3 million * (1 + 0.06) + $3 million * (1 + 0.06)^2 + ... + $3 million * (1 + 0.06)^19.
Using the formula for the sum of a geometric series, the O&M costs over the 20-year period can be calculated as: O&M costs = $3 million * (1 - (1 + 0.06)^20) / (1 - (1 + 0.06)) = $3 million * (1 - 1.418519) / (-0.06) = $3 million * (-0.418519) / (-0.06) = $2.91038 million.
Now, let's calculate the present value of the costs: Present value of the initial installation cost: $35 million.
Present value of the minor R&R cost after 10 years: $14 million * 10.206 (present value factor for 6% MARR and 10 years) = $142.884 million. Present value of the major R&R cost after 20 years: $18 million * 10.206^2 (present value factor for 6% MARR and 20 years) = $371.001 million.
Present value of the O&M costs: $2.91038 million * 10.206 = $29.721 million. Finally, the capitalized cost of the solid waste treatment plant is the sum of all the present values: Capitalized cost = $35 million + $142.884 million + $371.001 million + $29.721 million = $578.606 million.
Rounding the final answer to the nearest whole number, the capitalized cost for the solid waste treatment plant is $579 million.
Learn more about cost here:
https://brainly.com/question/23176935
#SPJ11
The complete question is:
A new solid waste treatment plant is to be constructed in Washington County. The initial installation will cost $35 million (M). After 10 years, minor repair and renovation (R&R) will occur at a cost of $14M will be required; after 20 years, a major R&R costing $18M will be required. The investment pattern will repeat every 20 years. Each year during the 20 -year period, operating and maintenance (O\&M) costs will occur. The first year, O\&M costs will total $3M. Thereafter, O\&M costs will increase at a compound rate of 6% per year. Based on a 6% MARR, what is the capitalized cost for the solid waste treatment plant? Click here to access the TVM Factor Table calculator. $ Carry all interim calculations to 5 decimal places and then round your final answer to a whole number. The tolerance is ±25,000.
jada has a meal in a restaurant she adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. When the check comes, it says they also need to pay $3.99 in sales tax. what percentage of the subtotal is the sales tax. After tax, the total is 45.99. What percentage of the subtotal is the total?
Answer:
To find out the percentage, you do (3.99/42) * 100.
Step-by-step explanation:
hello i just want the correct final answer for the 3 questions without the steps:
Q1. What valid conclusion can we have in each of the following expressions: We are given these premises: ∀x(P (x) ∨ Q(x)), ∀x(¬Q(x) ∨ S(x)), ∀x(R(x) → ¬S(x)), and ∃x¬P (x). What conclusion can we have? · ∃xQ(x) · ∃xR(x) · ∃x¬Q(x) · ∃x¬S(x)
Q2. Fill in the blank (no space between the digits) the octal expansion of the number that succeeds (4277)8
( _____________________________________ )8
Q3. Fill in the blank (no space between the digits) the hexadecimal expansion of the number that precedes (E20)16
( _____________________________________ )16
The valid conclusion that we can have from the given premises are:∃xQ(x) and ∃x¬P(x) → ∃xQ(x).∃xQ(x) can be proved by taking ∃x¬P(x) from the premises and then by applying resolution steps with the premise
∀x(P(x) ∨ Q(x)) we get ∃xQ(x).
Q2. (4300)8 is the octal expansion of the number that succeeds (4277)8. Here's how we can find the solution: In octal, the digits are 0, 1, 2, 3, 4, 5, 6, and 7. To find the next number after (4277)8, we just add 1 to the last digit. So, the next number would be (4278)8.
However, since the last digit is 7, we have to "carry over" to the next digit. We add 1 to the 8's place, but that carries over to the next digit, and so on. So, the next number after (4277)8 is (4300)8. Q3. (E1F)16 is the hexadecimal expansion of the number that precedes (E20)16.
Here's how we can find the solution:In hexadecimal, the digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. To find the number that precedes (E20)16, we just subtract 1 from the last digit. Since the last digit is 0, we have to "borrow" from the digit to its left. That digit is E, which is one less than F.
So, we borrow from that digit and add 1 to the last digit. Thus, the number that precedes (E20)16 is (E1F)16.
To know more about octal expansion visit:
https://brainly.com/question/31655449
#SPJ11
the distance from the ground of a person riding on a ferris wheel can be modeled by the equation d equals 20 times the sine of the quantity pi over 30 times t end quantity plus 10 comma where d represents the distance, in feet, of the person above the ground after t seconds. how long will it take for the ferris wheel to make one revolution? 10 seconds 20 seconds 30 seconds 60 seconds
It takes approximately 26.56 seconds for the ferris wheel to make one revolution.
so, the correct option is: e) 26.56 seconds
Here, we have,
The ferris wheel makes one complete revolution when the distance of the person above the ground returns to the original value after completing a full circle.
This occurs when the sine function returns to its maximum value, which is 1.
Thus, we have the following equation:
20 * sin(π/30 * t) + 10 = 20
Solving for t,
we will get:
sin(π/30 * t) = 0.5
Taking the inverse sine of both sides:
(π/30 * t) = sin^-1(0.5)
Multiplying both sides by 30/π,
we will get the following:
t = (30/π) * sin^-1(0.5)
Now solving the value of t
We will get it as: t ≈ 26.56 seconds.
so, the correct option is: e) 26.56 seconds
For more questions on Sine and Inverse Sine function
brainly.com/question/23902719
#SPJ12
complete question:
the distance from the ground of a person riding on a ferris wheel can be modeled by the equation d equals 20 times the sine of the quantity pi over 30 times t end quantity plus 10 comma where d represents the distance, in feet, of the person above the ground after t seconds. how long will it take for the ferris wheel to make one revolution?
a) 10 seconds
b) 20 seconds
c) 30 seconds
d) 60 seconds
e) 26.56 seconds
PLEASE HELPPP ASAP. I WILL GIVE BRAINLIEST!!!
Answer:
Factors: 5x, 3x²y⁵ Not Factor: 10x⁴y³
Step-by-step explanation:
5x is a factor because 15x²y⁶= 5x•3xy⁶
3x²y⁵ is a factor because 15x²y⁶ = 3x²y⁵•5y
10x⁴y³ isn't a factor because 15:10=1.5 isn't integer
The owner of a shop wants to mix cashews and pecans to make 8 kg of mixed nuts worth $7. 25 per kg. If the price of cashews is $8. 00 per kg, and the price of pecans is $7. 00 per kg, how many kilograms of each should he use?
The owner should use 2 kg of cashews and 6 kg of pecans to make 8 kg of mixed nuts worth $7.25 per kg.
Let's assume the owner uses x kg of cashews and (8-x) kg of pecans.
The cost of x kg of cashews at $8.00 per kg is 8x dollars.
The cost of (8-x) kg of pecans at $7.00 per kg is 7(8-x) dollars.
The total cost of the mixed nuts is 8x + 7(8-x) = 8x + 56 - 7x = x + 56 dollars.
Since the mixed nuts are worth $7.25 per kg, the total value of the mixed nuts is 8(7.25) = 58 dollars.
Therefore, we have the equation:
x + 56 = 58
Solving for x, we get:
x = 2
Learn more about cost here https://brainly.com/question/15135554
#SPJ4
rebecca’s electric bill is a variable expense. what is the average amount she pays for electricity if she paid $135 in december, $129 in january, $99 in february, $120 in march and $140 in april?
The average amount Rebecca pays for electricity based on the given data is $124.60.
To calculate the average, we add up the amounts she paid in each month and then divide by the total number of months. In this case, the sum of her payments is $135 + $129 + $99 + $120 + $140 = $623. Dividing this sum by the total number of months (5), we get an average of $623 / 5 = $124.60. Calculating the average helps us determine the typical amount Rebecca pays for electricity based on the given data. It provides an overall picture of her average expenses in the specified period.
To know more about averages here: brainly.com/question/24057012
#SPJ11
17% of what number is 3.4
Answer:
20
Step-by-step explanation:
We already have our first value 3.4 and the second value 17. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
Step 1 ---> 3.4 = 17% × Y
Step 2 ---> 3.4 = 17/100 × Y
Multiplying both sides by 100 and dividing both sides of the equation by 17 we will arrive at:
Step 3 ---> Y = 3.4 × 100/17
Step 4 ---> Y = 3.4 × 100 ÷ 17
Step 5 ---> Y = 20
Finally, we have found the value of Y which is 20 and that is our answer.
*You can easily calculate 3.4 is 17 percent of what number by using any regular calculator, simply enter 3.4 × 100 ÷ 17 and you will get your answer which is 20*